Atkin-Lehner |
2+ 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
83520y |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
117976765317120 = 214 · 310 · 5 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 6 -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1462908,-681041392] |
[a1,a2,a3,a4,a6] |
j |
28988603169478864/9877545 |
j-invariant |
L |
2.1964195389669 |
L(r)(E,1)/r! |
Ω |
0.13727621929825 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520ek1 10440bb1 27840be1 |
Quadratic twists by: -4 8 -3 |